137437044 has 48 divisors (see below), whose sum is σ = 343683648. Its totient is φ = 42592768.

The previous prime is 137437039. The next prime is 137437049. The reversal of 137437044 is 440734731.

It is an interprime number because it is at equal distance from previous prime (137437039) and next prime (137437049).

It is a junction number, because it is equal to n+sod(n) for n = 137436996 and 137437014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137437049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12874 + ... + 20990.

It is an arithmetic number, because the mean of its divisors is an integer number (7160076).

Almost surely, 2^137437044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137437044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171841824).

137437044 is an abundant number, since it is smaller than the sum of its proper divisors (206246604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137437044 is a wasteful number, since it uses less digits than its factorization.

137437044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8224 (or 8222 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 137437044 is about 11723.3546393513. The cubic root of 137437044 is about 516.0612720942.

The spelling of 137437044 in words is "one hundred thirty-seven million, four hundred thirty-seven thousand, forty-four".